482652800 has 192 divisors, whose sum is σ = 1411516800. Its totient is φ = 159559680.

The previous prime is 482652787. The next prime is 482652847. The reversal of 482652800 is 8256284.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649229 + ... + 649971.

It is an arithmetic number, because the mean of its divisors is an integer number (7351650).

Almost surely, 2^482652800 is an apocalyptic number.

482652800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705758400).

482652800 is an abundant number, since it is smaller than the sum of its proper divisors (928864000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

482652800 is a wasteful number, since it uses less digits than its factorization.

482652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 482652800 is about 21969.3604822717. The cubic root of 482652800 is about 784.4132903536.

The spelling of 482652800 in words is "four hundred eighty-two million, six hundred fifty-two thousand, eight hundred".